| # | Date | Topic (references) | Materials |
|---|
| 1 | 9/4 | Absolute values and discrete valuations | notes |
| 2 | 9/9 and 9/11 | Localization and Dedekind domains | notes |
| 3 | 9/16 | Properties of Dedekind domains, factorization of ideals | notes |
| 4 | 9/18 | Étale algebras | notes |
| 5 | 9/23 | Dedekind extensions | notes |
| 6 | 9/25 and 9/30 | Ideal norms, Dedekind-Kummer, orders, and conductors | notes |
| 7 | 10/2 | Galois extensions, Frobenius elements, the Artin map | notes |
| 8 | 10/7 | Complete fields and valuation rings | notes |
| 9 | 10/9 | Local fields and Hensel's lemmas | notes |
| 10 | 10/14 | Extensions of complete DVRs | notes |
| 11 | 10/21 | Totally ramified extensions and Krasner's lemma | notes |
| 12 | 10/23 | The different and the discriminant | notes |
| 13 | 10/28 | Global fields and the product formula | notes |
| 14 | 10/30 | The geometry of numbers | notes |
| 15 | 11/4 | Dirichlet's unit theorem | notes |
